Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cj |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6665400000000000000 = -1 · 215 · 32 · 514 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1792096,-932315020] |
[a1,a2,a3,a4,a6] |
Generators |
[995431118:20030096112:571787] |
Generators of the group modulo torsion |
j |
-155398856216042825569/1627294921875000 |
j-invariant |
L |
6.8821928631159 |
L(r)(E,1)/r! |
Ω |
0.065201583501982 |
Real period |
R |
13.1940677156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830u2 115920ek2 |
Quadratic twists by: -4 -3 |